Results 21 to 30 of about 69,338 (279)
FUZZY SEMIGROUPS IN REDUCTIVE SEMIGROUPS [PDF]
Summary: We consider a fuzzy semigroup \(S\) in a right (or left) reductive semigroup \(X\) such that \(S(k)=1\) for some \(k \in X\) and find a faithful representation (or anti-representation) of \(S\) by transformations of \(S\). Also we show that a fuzzy semigroup \(S\) in a weakly reductive semigroup \(X\) such that \(S(k)=1\) for some \(k \in X ...
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On Epiorthodox Semigroups [PDF]
It has been well known that the band of idempotents of a naturally ordered orthodox semigroup satisfying the “strong Dubreil‐Jacotin condition” forms a normal band. In the literature, the naturally ordered orthodox semigroups satisfying the strong Dubreil‐Jacotin condition were first considered by Blyth and Almeida Santos in 1992.
Shouxu Du, Xinzhai Xu, K. P. Shum
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A variational principle for free semigroup actions
In this paper we introduce a notion of measure theoretical entropy for a finitely generated free semigroup action and establish a variational principle when the semigroup is generated by continuous self maps on a compact metric space and has finite ...
M. Carvalho, F. Rodrigues, P. Varandas
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Introducing Fully Up-Semigroups
In this paper, we introduce some new classes of algebras related to UP-algebras and semigroups, called a left UP-semigroup, a right UP-semigroup, a fully UP-semigroup, a left-left UP-semigroup, a right-left UP-semigroup, a left-right UP-semigroup, a ...
Iampan Aiyared
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ON THE CAYLEY SEMIGROUP OF A FINITE APERIODIC SEMIGROUP [PDF]
Let S be a finite semigroup. In this paper, we introduce the functions φs:S* → S*, first defined by Rhodes, given by φs([a1,a2,…,an]) = [sa1,sa1a2,…,sa1a2 ⋯ an]. We show that if S is a finite aperiodic semigroup, then the semigroup generated by the functions {φs}s ∈ S is finite and aperiodic.
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A semigroup-based setting for developing Hoare logics and refinement calculi is introduced together with procedures for translating between verification and refinement proofs. A new Hoare logic for multirelations and two minimalist generic verification and refinement components, implemented in an interactive theorem prover, are presented as ...
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The action of any group on itself by conjugation and the corresponding conjugacy relation play an important role in group theory. There have been several attempts to extend the notion of conjugacy to semigroups. In this paper, we present a new definition of conjugacy that can be applied to an arbitrary semigroup and it does not reduce to the universal ...
João Araújo +2 more
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On the defining equations of the tangent cone of a numerical semigroup ring [PDF]
Let a = a 1 … a r be a sequence of positive integers, and let H a denote the semigroup generated by a 1 , … , a r . For an integer k ≥ 0 we denote by a + k the shifted sequence a 1 + k , … , a r + k . Fix a field K .
J. Herzog, Dumitru I. Stamate
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In this paper we consider a semigroup on trigonometric expansions that will be called the Theta semigroup since its kernel is a multiple of the third Jacobi theta function. We study properties of this semigroup and prove that it is a positive diffusion semigroup. We also obtain that its subordinated semigroup is the classical Poisson semigroup.
Urbina, Wilfredo O., Zayed, Ahmed
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On Minimal Fuzzy Ideals of Semigroups
The present paper contains the sufficient condition of a fuzzy semigroup to be a fuzzy group using fuzzy points. The existence of a fuzzy kernel in semigroup is explored.
Madad Khan +2 more
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